Question

Simplify the expression. $$33 x \div \frac{3}{11}$$

Short answer

The simplified expression is \(121x\).

Step-by-step solution

Convert the division operation to multiplication

The expression should first be rewritten to: \(33x \cdot \frac{11}{3}\). This step is based on the fact that any number divided by a fraction is equivalent to the number multiplied by the reciprocal of the fraction.

Simplify the multiplication

Now you can carry out the multiplication. The coefficient of the variable x, 33, is multiplied by \(\frac{11}{3}\), which equals \(121\). So the expression transforms into \(121x\).